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Finding the Fourth Proportional to 35,801.06, 53,729.08 and 19,175

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Solution

The fourth proportional to 35,801.06, 53,729.08 and 19,175 is: 28,777.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,801.06 : 53,729.08 = 19,175 : x
  2. Step 2: Convert to fraction form
    35,801.06/53,729.08 = 19,175/x
  3. Step 3: Cross multiply
    35,801.06x = 53,729.08 × 19,175
  4. Step 4: Simplify right side
    35,801.06x = 1,030,255,109
  5. Step 5: Solve for x
    x = 1,030,255,109/35,801.06
  6. Step 6: Final answer
    x = 28,777.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.